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Finding the Fourth Proportional to 705,627.40, 973,849.28 and 419,148.62

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Solution

The fourth proportional to 705,627.40, 973,849.28 and 419,148.62 is: 578,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,627.40 : 973,849.28 = 419,148.62 : x
  2. Step 2: Convert to fraction form
    705,627.40/973,849.28 = 419,148.62/x
  3. Step 3: Cross multiply
    705,627.40x = 973,849.28 × 419,148.62
  4. Step 4: Simplify right side
    705,627.40x = 408,187,581,799.99
  5. Step 5: Solve for x
    x = 408,187,581,799.99/705,627.40
  6. Step 6: Final answer
    x = 578,474.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.